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On the exact discretization of the classical harmonic oscillator equation |
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| Authors: | Jan L Cie?liński |
| Institution: | 1. Uniwersytet w Bia?ymstoku , Wydzia? Fizyki, ul. Lipowa 41, 15-424, Bia?ystok, Poland janek@alpha.uwb.edu.pl |
| Abstract: | We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. We present and suggest some numerical applications. |
| Keywords: | finite difference numerical schemes exact discretizations geometric numerical integration classical harmonic oscillator energy integral |